Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
520 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 129 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#11924564 | C2 | semidirect |
| 2. #14558179 | C2 | semidirect |
| 3. #14557917 | C2 | semidirect |
| 4. #14557779 | C2 | semidirect |
| 5. #14557749 | C2 | semidirect |
| 6. #14557697 | C2 | semidirect |
| 7. #14557669 | C2 | semidirect |
| 8. C4×D296 | C2 | semidirect |
| 9. C37×#436 | C2 | semidirect |
| 11. C22×D148 | C22 | semidirect |
| 13. C2×Dic148 | C22 | semidirect |
| 14. C2×#10596930 | C22 | semidirect |
| 15. C2×#10596930 | C22 | semidirect |
| 19. #11924524 | C22 | semidirect |
| 21. #11924515 | C22 | semidirect |
| 25. C4×D148 | C22 | semidirect |
| 27. #11924470 | C22 | semidirect |
| 28. #11924461 | C22 | semidirect |
| 29. #11924458 | C22 | semidirect |
| 30. #11924458 | C22 | semidirect |
| 31. C2×M16×C37 | C22 | semidirect |
| 33. C4⋊C8×C37 | C22 | semidirect |
| 34. C22⋊C8×C37 | C22 | semidirect |
| 35. C4×C8×C37 | C22 | semidirect |
| 68. D296 | D4 | semidirect |
| 133. #436 | D37 | semidirect |
| 134. C37 | #3273 | semidirect |
| 144. C2×M16 | C2×D37 | semidirect |
| 155. C4⋊C8 | C2×D37 | semidirect |
| 159. C22⋊C8 | C2×D37 | semidirect |
| 160. C4×C8 | C2×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924564 | 2 |
| #14558179 | 2 |
| #14557917 | 2 |
| #14557779 | 2 |
| #14557749 | 2 |
| #14557697 | 2 |
| #14557669 | 2 |
| C4×D296 | 2 |
| C37×#436 | 2 |
| #3273 | 37 |